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Finding the Third Proportional to 21,851 and 33,413.50

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Solution

The third proportional to 21,851 and 33,413.50 is: 51,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851 : 33,413.50 = 33,413.50 : x
  2. Step 2: Convert to fraction form
    21,851/33,413.50 = 33,413.50/x
  3. Step 3: Cross multiply
    21,851x = 33,413.50 × 33,413.50
  4. Step 4: Simplify right side
    21,851x = 1,116,461,982.25
  5. Step 5: Solve for x
    x = 1,116,461,982.25/21,851
  6. Step 6: Final answer
    x = 51,094.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.